Matrix Calculator
Perform matrix operations including addition, subtraction, multiplication, determinant, inverse, transpose, and more. Supports 2x2, 3x3, and custom size matrices with step-by-step solutions.
Matrix Calculator
Matrix Dimensions
Matrix Values
Matrix A
Matrix B
Matrix Operations Guide
Addition & Subtraction
Matrices must have the same dimensions. Add/subtract corresponding elements.
Multiplication
Number of columns in first matrix must equal number of rows in second matrix.
Determinant
Only defined for square matrices. Returns a scalar value.
Inverse
Only defined for square matrices with non-zero determinant.
Transpose
Swaps rows and columns. (Aᵀ)ᵢⱼ = Aⱼᵢ
Scalar Multiplication
Multiply each element by a scalar value: (kA)ᵢⱼ = k × Aᵢⱼ
Matrix Power
Only defined for square matrices. A⁰ = I, A¹ = A, Aⁿ = A × Aⁿ⁻¹
Supported Sizes
Up to 5×5 matrices. Determinant and inverse limited to 3×3.
How to use:
- • Select the matrix operation you want to perform
- • Set the dimensions of your matrices (up to 5×5)
- • Enter the matrix values in the input grids
- • Click "Calculate" to see the result and step-by-step solution
- • Perfect for linear algebra, engineering, and data science
- • All calculations are mathematically accurate and verified
❓Matrix Calculator FAQ
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